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Finding the Fourth Proportional to 651.24, 898.62 and 385.80

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Solution

The fourth proportional to 651.24, 898.62 and 385.80 is: 532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.24 : 898.62 = 385.80 : x
  2. Step 2: Convert to fraction form
    651.24/898.62 = 385.80/x
  3. Step 3: Cross multiply
    651.24x = 898.62 × 385.80
  4. Step 4: Simplify right side
    651.24x = 346,687.60
  5. Step 5: Solve for x
    x = 346,687.60/651.24
  6. Step 6: Final answer
    x = 532.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.